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Record Nr. |
UNISA996466083003316 |
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Autore |
Wansing Heinrich |
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Titolo |
The Logic of Information Structures [[electronic resource] /] / by Heinrich Wansing |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1993 |
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ISBN |
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Edizione |
[1st ed. 1993.] |
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Descrizione fisica |
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1 online resource (CLXXX, 168 p.) |
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Collana |
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Lecture Notes in Artificial Intelligence ; ; 681 |
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Disciplina |
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Soggetti |
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Artificial intelligence |
Mathematical logic |
Artificial Intelligence |
Mathematical Logic and Foundations |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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Generalizations -- Intuitionistic minimal and intuitionistic information processing -- Functional completeness for substructural subsystems of IPL -- Formulas-as-types for substructural subsystems of IPL -- Constructive minimal and constructive information processing -- Functional completeness for substructural subsystems of N -- The constructive typed ?-calculus ?c and formulas-as-types for N? -- Monoid models and the informational interpretation of substructural propositional logics. |
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Sommario/riassunto |
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This monograph gives a logical treatment of two central aspects of the concept of information, namely information processing and information structure. The structure of information is treated as a topic in model theory, while information processing is seen as an aspect of proof theory. A wide spectrum of substructural subsystems of intuitionistic propositional logic and of Nelson's constructive logic with strong negation is investigated. In particular, the problems of cut-elimination, functional completeness, and coding of proofs with lambda-terms are handled. Finally, an interpretation of these systems in terms of states of information and operations over these states is presented. |
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